Dirac quantization condition for monopole in noncommutative space-time

Abstract

Since the structure of space-time at very short distances is believed to get modified possibly due to noncommutativity effects and as the Dirac quantization condition, {mu}e=(N/2)({Dirac_h}/2{pi})c, probes the magnetic field point singularity, a natural question arises whether the same condition will still survive. We show that the Dirac quantization condition on a noncommutative space in a model of dynamical noncommutative quantum mechanics remains the same as in the commutative case to first order in the noncommutativity parameter {theta}, leading to the conjecture that the condition will not alter in higher orders.0.